Least Common Multiple of 24/86, 51/26, 66/50, 27/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/86, 51/26, 66/50, 27/426 quickly i.e. 20196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/86, 51/26, 66/50, 27/426 is 20196.

LCM(24/86, 51/26, 66/50, 27/426) = 20196

LCM of 24/86, 51/26, 66/50, 27/426

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 24/86,51/26,66/50,27/426

Given numbers are 24/86,51/26,66/50,27/426

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 24,51,66,27

Least Common Multiple of Numerators i.e. LCM of 24,51,66,27 is 40392.

GCF of Denominators means GCF of 86,26,50,426 as per the given fractions.

GCF of 86,26,50,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,51,66,27

LCM of Fractions 24/86,51/26,66/50,27/426 is 20196

2 24, 51, 66, 27
3 12, 51, 33, 27
4, 17, 11, 9

∴ So the LCM of the given numbers is 2 x 3 x 4 x 17 x 11 x 9 = 40392

Least Common Multiple of 24,51,66,27 with GCF Formula

Least Common Multiple of 24,51,66,27 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,51,66,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,51,66,27) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(24,51,66,27) x common factors =3 x 18 = 54

LCM(24,51,66,27) = ( 24 × 51 × 66 × 27 ) / 54

LCM(24,51,66,27) = 2181168 / 54

LCM(24,51,66,27) = 40392


Lets's calculate GCF of 86,26,50,426

2 86, 26, 50, 426
43, 13, 25, 213

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40392/2

Therefore the LCM of Fractions 24/86,51/26,66/50,27/426 is 20196

Greatest Common Factor of 86,26,50,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,26,50,426 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 86,26,50,426 . The biggest common factor number is the GCF number.
So the greatest common factor 86,26,50,426 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/86, 51/26, 66/50, 27/426

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 24/86, 51/26, 66/50, 27/426?

Answer: LCM of Numerators as per given numbers 24/86, 51/26, 66/50, 27/426 is

LCM of Numerators i.e. for 24,51,66,27 is 40392

GCF of denominators i.e. for 86,26,50,426 is 2.

Thus, LCM of Fractions is 20196.Finally, LCM of Fractions for 24/86, 51/26, 66/50, 27/426 is 20196.